Submission #1294466

#TimeUsernameProblemLanguageResultExecution timeMemory
1294466gsalterBootfall (IZhO17_bootfall)C++20
100 / 100
434 ms3468 KiB
/*
*/
#include <iostream>
#include <vector>
 
using namespace std;

const int MOD = 1000000007;

void print(const vector<int>& vec) {
    for (int i=0; i<vec.size(); i++) {
        cout << vec[i] << ' ';
    }
    cout << '\n';
}

int main() {
    int n;
    cin >> n;
    vector<int> w(n, 0);
    int max_x = 0;
    for (int i=0; i<n; i++) {
        cin >> w[i];
        max_x += w[i];
    }
    vector<int> count(max_x+1);
    vector<int> dp(max_x+1);
    vector<int> res;
    dp[0] = 1;
    
    // add everything to the knapsack
    for (int i=0; i<n; i++) {
        for (int s=max_x; s>=w[i]; s--) {
            dp[s] += dp[s-w[i]];
            if (dp[s] >= MOD) dp[s] -= MOD;
        }
    }
    // print(dp);

    if (max_x%2 == 1) {
        cout << 0 << endl;
        return 0;
    }

    if (dp[max_x/2] == 0) {
        cout << 0 << endl;
        return 0;
    }

    for (int i=0; i<n; i++) {
        // remove w[i] from knapsack
        for (int s=w[i]; s<=max_x; s++) {
            dp[s] -= dp[s - w[i]];
            if (dp[s] < 0) dp[s] += MOD;
        }

        for (int x = 0; x<=max_x; x++) {
            int curr_sum = max_x - w[i] + x;
            if (curr_sum %2 == 1) continue;
            int target = curr_sum / 2 - x;
            if (target >= 0 && dp[target] > 0) {
                count[x]++;
            }
        }

        // add back w[i] to knapsack
        for (int s=max_x; s>=w[i]; s--) {
            dp[s] += dp[s-w[i]];
            if (dp[s] >= MOD) dp[s] -= MOD;
        }
    }

    for (int x=0; x<=max_x; x++) {
        if (count[x] == n) {
            res.push_back(x);
        }
    }

    cout << res.size() << endl;
    for (int i=0; i<res.size(); i++) {
        cout << res[i] << " ";
    }
    cout << endl;

    return 0;
}
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